Correlation entropy of an interacting quantum field and H theorem for the O(N) model

Following the Boltzmann-BBGKY paradigm we propose a correlation entropy (of the nth order) for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the co...

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Autores principales: Calzetta, E.A., Hu, B.L.
Formato: JOUR
Materias:
article
calculation
density
entropy
kinetics
mathematical analysis
model
oscillation
quantum mechanics
quantum theory
space
temperature sensitivity
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_05562821_v68_n6_p_Calzetta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_05562821_v68_n6_p_Calzetta
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spelling todo:paper_05562821_v68_n6_p_Calzetta2023-10-03T15:35:49Z Correlation entropy of an interacting quantum field and H theorem for the O(N) model Calzetta, E.A. Hu, B.L. article calculation density entropy kinetics mathematical analysis model oscillation quantum mechanics quantum theory space temperature sensitivity Following the Boltzmann-BBGKY paradigm we propose a correlation entropy (of the nth order) for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. © 2003 The American Physical Society. Fil:Calzetta, E.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_05562821_v68_n6_p_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic article
calculation
density
entropy
kinetics
mathematical analysis
model
oscillation
quantum mechanics
quantum theory
space
temperature sensitivity
spellingShingle article
calculation
density
entropy
kinetics
mathematical analysis
model
oscillation
quantum mechanics
quantum theory
space
temperature sensitivity
Calzetta, E.A.
Hu, B.L.
Correlation entropy of an interacting quantum field and H theorem for the O(N) model
topic_facet article
calculation
density
entropy
kinetics
mathematical analysis
model
oscillation
quantum mechanics
quantum theory
space
temperature sensitivity
description Following the Boltzmann-BBGKY paradigm we propose a correlation entropy (of the nth order) for an interacting quantum field. The concept of correlation entropy is useful for addressing issues related to thermalization. As a small yet important step in that direction, we state an H theorem for the correlation entropy of a quantum-mechanical O(N) model with a closed time path two-particle irreducible effective action at the level of a next-to-leading-order large N approximation. This model may be regarded as a field theory in 0 space dimensions. We verify the validity of the proposed H theorem in two limiting cases. © 2003 The American Physical Society.
format JOUR
author Calzetta, E.A.
Hu, B.L.
author_facet Calzetta, E.A.
Hu, B.L.
author_sort Calzetta, E.A.
title Correlation entropy of an interacting quantum field and H theorem for the O(N) model
title_short Correlation entropy of an interacting quantum field and H theorem for the O(N) model
title_full Correlation entropy of an interacting quantum field and H theorem for the O(N) model
title_fullStr Correlation entropy of an interacting quantum field and H theorem for the O(N) model
title_full_unstemmed Correlation entropy of an interacting quantum field and H theorem for the O(N) model
title_sort correlation entropy of an interacting quantum field and h theorem for the o(n) model
url http://hdl.handle.net/20.500.12110/paper_05562821_v68_n6_p_Calzetta
work_keys_str_mv AT calzettaea correlationentropyofaninteractingquantumfieldandhtheoremfortheonmodel
AT hubl correlationentropyofaninteractingquantumfieldandhtheoremfortheonmodel
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